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Irregular Solutions of Linear Degenerate Elliptic Equations |
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| Authors: | Franchi Bruno Serapioni Raul Serra Cassano Francesco |
| Affiliation: | (1) Dipartimento di Matematica, Piazza di Porta S. Donato, 5 40127 Bolonga, Italia.;(2) Dipartimento di Matematica, Politecnico, Via Bonardi 9, 20133 Milano, Italia.;(3) Dipartimento di Matematica, Universitá, 38050 Povo (Trento), Italia. |
| Abstract: | We give examples of discontinuous solutions and of unbounded solutions of linear isotropic degenerate elliptic equations. Discontinuous solutions exist even when both the maximum eigenvalue and the inverse of the minimum eigenvalue of the matrix of the coefficients are in the intersection of all the Lp spaces. |
| Keywords: | Linear degenerate elliptic equations De Giorgi– Nash theorem regular solutions weights. |
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